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continuous-time (CT) and discrete-time (DT) signals; signal energy and
power |
Ex: 1.1 |
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| Aug 29 | signal transformations; common signals | time shift,
reversal, and scaling; periodic signals; even and odd signals; complex exponentials;
(angular) frequency; fundamental period |
15-38; Ex: 1.2, 1.3 |
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| Sep 1 | common signals; difference between CT and DT complex exponentials | harmonically
related complex exponentials; unit impulse and unit step signals |
38-56, 71; Ex: 1.4, 1.5; demo1.m |
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| Sep 3 | system properties |
sifting property;
memoryless systems; invertibility; causality; |
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| Sep 5 |
system properties; DT convolution
sum |
stability; time
invariance; linearity; LTI system |
74-90 |
HW 1 due |
| Sep 8 |
(recitation) |
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| Sep 10 |
Quiz 1 DT convolution |
impulse response;
convolution sum |
90-102; Java applet |
Quiz 1 |
| Sep 12 |
CT convolution |
convolution integral |
103-111; Java applet |
HW 2 due |
| Sep 15 |
differential and difference
equations |
homogeneous and
particular solutions; infinite impulse response (IIR) and finite impulse
response (FIR) systems |
112-116 Ex: 2.2, 2.5; LTI systems |
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| Sep 17 |
(recitation) |
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| Sep 19 |
Quiz 2 |
116-127 |
Quiz 2 |
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| Sep 22 |
Fourier series representation |
eigenfunction,
eigenvalue; Laplace transform; z-transform; Fourier series representation;
first and second harmonic components |
177-186 |
HW 3 due |
| Sep 24 |
determination of Fourier series |
analysis equation,
synthesis equation; Fourier series coefficient; spectral coefficient |
186-195; 211-220; Ex: 3.1; Java applet |
Quiz-like problems |
| Sep 26 |
properties of Fourier series |
Gibbs phenomenon |
195-211; 221-226 |
HW 4 due |
| Sep 29 |
Quiz 3 Fourier series and LTI systems |
system function;
frequency response |
226-231; Ex: 3.2 |
Quiz 3 |
| Sep 30 |
(discussion of sample exam) |
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| Oct 1 |
filtering |
lowpass (LP) filter,
highpass (HP) filter, bandpass (BP) filter |
231-239 |
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| Oct 2 |
EXAM
1 8:00-9:15am, LIBR 107 |
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| Oct 3 |
(no class) |
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| Oct 6 |
filters described by differential
and difference equations |
239-250 |
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| Oct 8 |
introduction to the CT Fourier
transform |
CT Fourier transform
(CT FT) |
284-290; Ex: 4.1 |
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| Oct 10 |
Fourier transform of periodic
signals; FT properties |
290-308 |
HW 5 due |
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| Oct 13 |
Quiz 4
convolution property |
308-330 |
Quiz 4
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| Oct 15 |
FT properties |
duality |
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| Oct 17 |
FT properties |
330-333 |
HW 6 due |
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| FALL
BREAK |
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| Oct 27 |
systems characterized by differential
equations; proof of integration property |
sign function |
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Practice Quiz 5 preview |
| Oct 29 |
Quiz 5 introduction to the DT Fourier transform |
358-372 |
Quiz 5 |
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| Oct 31 |
DT FT of periodic signals;
properties of the DT FT |
372-396 |
HW 7 due |
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| Nov 3 |
properties of the DT FT |
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| Nov 5 |
(recitation) |
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| Nov 7 |
Quiz 6 |
HW 8
due |
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| Nov 10 |
discussion of quiz 6 |
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| Nov 12 |
systems characterized by difference
equations |
396-400 |
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| Nov 14 |
examples |
allpass filter |
HW 9 due |
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| Nov 17 |
practice exam |
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| Nov 18 |
EXAM
2 8:00-9:15am, LIBR 107 |
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| Nov 19 |
discussion of exam 2 |
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| Nov 21 |
introduction to the Laplace
transform |
bilateral Laplace
transform, region of convergence (ROC), pole-zero plot |
654-670; Ex: 9.1 |
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| Nov 24 |
properties of the ROC |
670-682 |
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| Nov 26 |
inverse Laplace transform;
geometric evaluation of the FT |
683-698 |
HW 10 due |
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| THANKSGIVING |
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| Dec 1 |
(recitation) |
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| Dec 3 |
Quiz 7 |
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| Dec 5 |
properties of the Laplace transform; TCE |
system function,
transfer function |
698-713 |
HW 11 due |
| Dec 8 |
characterization of LTI systems
using the Laplace transform; LTI systems characterized by linear constant-coefficient
differential equations |
initial-
and final-value theorems |
714-720 |
HW 12 |
| Dec 10 |
unilateral Laplace transform |
unilateral
Laplace transform |
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practice exam |
| Dec 15 |
discussion of practice exam 6:00-8:00pm, 119 DBRT |
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| Dec 17 |
FINAL
EXAM 8:00-10:00am, 131 DBRT |